SharedPersonal / peter_francis_tools / peter_francis_tools.styOpen in CoCalc
Author: Peter Francis
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%%% UPDATED 3/3/2019
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\usepackage{hyperref, amsmath, amsthm, latexsym, amsfonts, graphicx, enumerate, float, bm}
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% quick set of natural numbers
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\newcommand{\N}{\mathbb{N}}
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% quick set integers
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\newcommand{\Z}{\mathbb{Z}}
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% quick set of real numbers
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\newcommand{\R}{\mathbb{R}}
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% quick set of rational numbers
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\newcommand{\Q}{\mathbb{Q}}
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% quick set of complex numbers
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\newcommand{\C}{\mathbb{C}}
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% partial derivative symbol
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\newcommand{\dabba}{\partial}
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% epsilon
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\newcommand{\e}{\epsilon}
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% blacksquare
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\newcommand{\bs}{\blacksquare}
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% Capital Psi
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\newcommand{\IU}{\Psi}
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% Lowercase psi
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\newcommand{\U}{\psi}
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% nth differentiation of one variable
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\newcommand{\dv}[2][]{\frac{d^{#1}}{d{#2}^{#1}}}
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% Variable of integration
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\newcommand{\d}[2][]{\text{d}^{#1}#2}
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% bold Nabla
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\newcommand{\Na}{\bm{\nabla}}
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% Nabla vector
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\newcommand{\Nav}{\begin{bmatrix}\frac{\dabba}{\dabba x}\\ \frac{\dabba}{\dabba y}\\ \frac{\dabba}{\dabba z}\end{bmatrix}}
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%sherical Nabla
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\newcommand{\NaSph}{\hat{e}_r\pt{r}+\hat{e}_\theta\frac{1}{r}\pt{\theta}+\hat{e}_\phi\frac{1}{r\sin(\theta)}\pt{\phi}}
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% Scalar-vector product
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\newcommand{\scalVec}[4]{\begin{bmatrix}(#1)(#2)\\(#1)(#3)\\ (#1)(#4)\end{bmatrix}}
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% gradient
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\newcommand{\gradient}[1]{\begin{bmatrix}\frac{\dabba}{\dabba x}\left[#1\right]\\ \frac{\dabba}{\dabba y}\left[#1\right]\\ \frac{\dabba}{\dabba z}\left[#1\right]\end{bmatrix}}
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% Partial with given variable
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\newcommand{\pt}[2][]{\frac{\dabba^{#1}}{\dabba #2^{#1}}}
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% Divergence
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\newcommand{\divergence}[3]{\pt{x}\left[#1\right]+\pt{y}\left[#2\right]+\pt{z}\left[#3\right]}
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% Cross product 6 arguents
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\newcommand{\cross}[6]{\begin{bmatrix}#2 #6-#3 #5\\ #3 #4-#1 #6\\ #1 #5-#2 #4\end{bmatrix}}
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% Curl
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\newcommand{\curl}[3]{\begin{bmatrix}\pt{y}\left[#3\right]-\pt{z}\left[#2\right]\\ \pt{z}\left[#1\right]-\pt{x}\left[#3\right]\\ \pt{x}\left[#2\right]-\pt{y}\left[#1\right]\end{bmatrix}}
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% infinite integral
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\newcommand{\inint}{\int_{-\infty}^{\infty}}
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% expectation Value
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\newcommand{\xpctn}[1]{\left\langle#1\right\rangle}
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% script L
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\newcommand{\sL}{\mathcal{L}}
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\newtheorem{theorem}{Theorem}
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\newtheorem{lemma}[theorem]{Lemma}
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\newtheorem{definition}[theorem]{Definition}
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\newtheorem{corollary}[theorem]{Corollary}
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\newtheorem{remark}[theorem]{Remark}
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\newtheorem*{theorem*}{Theorem}
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\newtheorem*{lemma*}{Lemma}
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\newtheorem*{definition*}{Definition}
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\newtheorem*{corollary*}{Corollary}
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\newtheorem*{remark*}{Remark}
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\endinput